1 827 929 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
784428402303428316463	21	69.4	2012-05-26 09:02:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Ola Svallmark	7D30519565016688	0
Verified (Factored)	1998-02-19	Alex Kok	7D30519565016688	0
Verified (Factored)	1999-01-02	James Arnold	7D30519565016688	1346713

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	C6327E7C920DC2F0	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-04	Oliver Kruse	3042B6C95A3E9E40	1	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	3042B6C95A3E9E40	1	360731	1	3

History

Date	User	Type	Result
2025-09-03	skittles	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	C6327E7C920DC2F0 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-11-06	kkmrkkblmbrbk	C-PRP	M1827929/784428402303428316463 : 3042B6C95A3E9E40 PRP: Verified PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1827929/784428402303428316463 : 3042B6C95A3E9E40 PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2012-05-26	omiXorp	F-ECM	Factor: 784428402303428316463
2011-12-31	markr	NF-PM1	B1=275000, B2=6000000, E=12
2011-03-08	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-09	Architects Cubed	NF	no factor from 2^60 to 2^61